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Published on: 02/11/2019
Term 2 Number System
Download Tamil Nadu 7th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
Between which two whole numbers the given numbers lie?
0.2
2.
Convert the following decimals into fractions and reduce them to the lowest form.
2.125
3.
Express the following using decimal notation.
8 m 30 cm in metres
4.
There are 26 boys and 24 girls in a class. Express the fractions of boys and girls as decimal numbers.
5.
Convert the following decimal numbers into fractions.
46.301
6.
Find the smaller decimal number in the following.
7.01, 7.3
7.
Represent the following decimal numbers on the number line.
2.1
8.
Compare the following decimal numbers and find the greater number.
0.007, 0.07
9.
Express the following decimals as fractions in lowest form.
3.56
10.
Convert the following fractions into decimal numbers.
\(\frac { 99 }{ 100 } \)
11.
Write each of the following as decimal numbers.
6 + \(\frac { 0 }{ 10 } +\frac { 0 }{ 100 } +\frac { 9 }{ 1000 } \)
12.
Write the following decimal numbers in the place value table.
428.001
13.
Expand the following decimal numbers.
37.3
14.
Express the following in metres using decimal.
8 cm 9 mm
15.
Express the following in cm using decimal.
5 mm
1.
0.2 lies between 0 and 1
2.
\(2.125 =2+\frac{1}{10}+\frac{2}{100}+\frac{5}{1000}=2+\frac{125}{1000}
\)
\(=2+\frac{125 \div 25}{1000 \div 25}=2+\frac{5 \div 5}{40 \div 5}
\)
\(=2+\frac{1}{8}=\frac{16+1}{8}=\frac{17}{8}
\) (Lowest forrn)
3.
\(1 \mathrm{~cm}=\frac{1}{100} m\)
8 m 30 cm = 8 m + 30 cm
\(=8 m+30 \times \frac{1}{100} m=8 m+\frac{30}{100} m\)
= 8 m + 0.3 m = 8.3 m
4.
Total number of students = 26 + 24 = 50
Fraction of boys \(=\frac{26}{50}=\frac{26 \times 2}{50 \times 2}
\)
\(=\frac{52}{100}=0.52
\)
Fraction of Girls \(=\frac{24}{50}=\frac{24 \times 2}{50 \times 2}
\)
\(=\frac{48}{100}=0.48
\)
5.
\(46.301=46+\frac{301}{1000}=\frac{46000+301}{1000}=\frac{46301}{1000}\)
6.
The whole number parts of the two decimal numbers are equal.
The digits at tenth place are 0 and 3.
3 > 0
7.3 > 7.01
The smaller nurnber is 7.01
7.
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8.
Whole number parts are equal
Tenth places are also equal
Digits at hundredth place are 0 and 7
0 < 7
Hence, 0.007 < 0.07
The greater number is 0.07.
9.
\(3.56 =3 \times 1+5 \times \frac{1}{10}+6 \times \frac{1}{100}=3+\frac{5 \times 10+6 \times 1}{100}
\)
\(=3+\frac{56}{100}=\frac{300+56}{100}=\frac{356}{100}=\frac{356 \div 4}{100 \div 4}
\)
\(=\frac{89}{25}
\) (Lowest fraction form)
10.
\(\frac{99}{100} =\frac{90+9}{100}=\frac{90}{100}+\frac{9}{100}=\frac{9}{10}+\frac{9}{100}
\)
\(=0+9 \times \frac{1}{10}+9 \times \frac{1}{100}=0.99
\)
11.
6 + \(\frac { 0 }{ 10 } +\frac { 0 }{ 100 } +\frac { 9 }{ 1000 } \)
= \(6+0\times \cfrac { 1 }{ 10 } +0\cfrac { 1 }{ 100 } +9\times \cfrac { 1 }{ 1000 } \)
= 6.009
12.
| S.No | Decimal number | Hundreds | Tens | Ones | Tenths | Hundredths | Thousands |
| 1 | 428.001 | 4 | 2 | 8 | 0 | 0 | 1 |
13.
\(=3 \times 10+7 \times 1+3 \times \frac{1}{10}\) (expanded form)
(OR)
= 3 x 101 + 7 x 10o + 3 x 10-1 (powers often)
14.
.8 cm 9 mm = 8 cm + 9 mm
= 8 cm + 9 x 1 mm
\(=8 \mathrm{~cm}+9 \times \frac{1}{10} \mathrm{~cm}=8 \mathrm{~cm}+\frac{9}{10} \mathrm{~cm}\)
= 8 cm + 0.9 cm = 8.9 cm
15.
\(1 \mathrm{~mm}=\frac{1}{10} \mathrm{~cm}=0.1 \mathrm{~cm}\)
5 mm = 5 x 1 mm
\(=5 \times \frac{1}{10} \mathrm{~cm}=\frac{5}{10} \mathrm{~cm}\)
5 mm = 0.5 cm
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